Question

If alpha and beta are zeroes of ax2+bx+c, find the value of 1/alpha2 + 1/beta2
somebody pls answer asap

Answer 1

$\alpha + \beta = - b \div \: a$
$\alpha \beta = c \div \: a$
$1 \div \: 2 \alpha + 1 \div \: 2 \beta \\ 2 \beta + 2 \alpha \div \: 2 \alpha \beta \\ 2( \alpha + \beta ) \div \: 2 \alpha \beta$
$2 \times ( - b \div \: a) \div \: 2 \times c \div \: a$